My mother made this several times every summer when I was growing up and I have tried to do the same. It is so satisfying, and so INDIANA! Serve it with an ear or two of fresh corn slathered in butter and some still-warm-from-the-vine tomato slices.
After snapping the ends off green beans and breaking them in half, soak them in cold water briefly; drain and repeat.
In a large Dutch oven, place beans in 8 cups fresh water. Cut smok-y-links in half or thirds and add them to beans. Bring to boil over medium heat, then simmer, covered, for 3-1/2 hours.
After 2-1/2 hours, add potatoes, carrots, salt and pepper to pot. Cover and continue cooking for about another hour. If 2 tsp. salt is too much for you or if you're watching your sodium intake, use less.